Balances in the Set of Arithmetic Progressions

This article focuses on searching and classifying balancing numbers in a set of arithmetic progressions. The sufficient and necessary conditions for the existence of balancing numbers are presented. Moreover, explicit formulae of balancing numbers and various relations are included.

Bibliographic Details
Main Authors: Chan-Liang Chung, Chunmei Zhong, Kanglun Zhou
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Axioms
Subjects:
Online Access:https://www.mdpi.com/2075-1680/10/4/350